Of a person: that has settled in a colony; assimilated into or adapted to the culture of a colonial settlement or society.
That has been brought into accordance with the standards or practices of a colony; that has been made colonial in character, form, or style. Now somewhat rare.
Of a country, its inhabitants, institutions, etc.: made subject to the political control of a colonial power.
Of the mind, culture, etc.: affected, influenced, or formed by the experience of colonization or subjection to colonial rule, its power structures, etc.
With plural agreement. Chiefly with the. People subjected to colonial settlement and rule, considered as a class or group.